New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution
Abstract
We construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing ansatz for the free-function terms of the equation and expanding the generalized Solov'ev solution [Ch. Simintzis, G. N. Throumoulopoulos, G. Pantis and H. Tasso, Phys. Plasmas {\bf 8}, 2641 (2001)]. On the basis of these solutions, we examine how the genaralized Solov'ev configuration is modified as the values of the free parameters associated with the additional pressure, poloidal-current and electric-field terms are changed. Thus, a variety of equilibria of tokamak, spherical tokamak and spheromak pertinence are constructed, including D-shaped configurations with positive and negative triangularity and diverted configurations with either a couple of X-points or a single X-point.
Cite
@article{arxiv.2411.10876,
title = {New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution},
author = {A. I. Kuiroukidis and D. A. Kaltsas and G. N. Throumoulopoulos},
journal= {arXiv preprint arXiv:2411.10876},
year = {2025}
}